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Finding the Fourth Proportional to 202.43, 301.83 and 198.79

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Solution

The fourth proportional to 202.43, 301.83 and 198.79 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.43 : 301.83 = 198.79 : x
  2. Step 2: Convert to fraction form
    202.43/301.83 = 198.79/x
  3. Step 3: Cross multiply
    202.43x = 301.83 × 198.79
  4. Step 4: Simplify right side
    202.43x = 59,998.28
  5. Step 5: Solve for x
    x = 59,998.28/202.43
  6. Step 6: Final answer
    x = 296.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.